85132144417600 has 252 divisors, whose sum is σ = 244954667255040. Its totient is φ = 29035341081600.

The previous prime is 85132144417531. The next prime is 85132144417627. The reversal of 85132144417600 is 671444123158.

85132144417600 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12131811 + ... + 17816989.

Almost surely, 2^{85132144417600} is an apocalyptic number.

85132144417600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85132144417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122477333627520).

85132144417600 is an abundant number, since it is smaller than the sum of its proper divisors (159822522837440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85132144417600 is a wasteful number, since it uses less digits than its factorization.

85132144417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685406 (or 5685384 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 85132144417600 in words is "eighty-five trillion, one hundred thirty-two billion, one hundred forty-four million, four hundred seventeen thousand, six hundred".